GCD of 382, 360, 564, 122 Calculator

Given Input numbers are 382, 360, 564, 122

In the factoring method, we have to find the divisors of all numbers

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (382, 360, 564, 122) = 2.

Given numbers are 382, 360, 564, 122

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 382, 360, 564, 122 is 2.

Given numbers are 382, 360, 564, 122

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(382, 360) = 68760

GCD(382, 360) = ( 382 x 360 ) / 68760

= 382 / 360

= 382

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 382, 360, 564, 122 is 2

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• GCD of 866, 616, 944, 912
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Given numbers are 382, 360, 564, 122
The greatest common divisor of numbers 382, 360, 564, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 360, 564, 122 is 2.

1. What is the GCD of 382, 360, 564, 122?

GCD of given numbers 382, 360, 564, 122 is 2

2. How to calculate the greatest common divisor of 382, 360, 564, 122?

We can find the highest common divisor of 382, 360, 564, 122 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 382, 360, 564, 122 i.e 2.

3. How can I use the GCD of 382, 360, 564, 122Calculator?

Out the numbers 382, 360, 564, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.